Understanding Maxium Displacement Problem in Serway 8th Edition Chapter 3

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The discussion focuses on solving a maximum displacement problem from Serway's 8th Edition, Chapter 3, which involves using trigonometry. The hypotenuse is given as 1.4 m along with an angle, leading to the suggestion of applying the law of sines to find the sides of the triangle. Additionally, the Pythagorean theorem can be utilized to determine the remaining side after calculating one side. The perpendicular and parallel components can be derived using the formulas y = r cos theta and x = r sin theta. Overall, the problem can be approached through these trigonometric methods for a solution.
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I understand that i should post all relevant work that I've done, but i don't even know where to start, in the serway 8th edition chapter 3 this problem is listed, i read all of chapter 3 yet still can't even attempt this problem. It's for my online homework which is due monday morning and was assigned last night, so i don't even have the chance to goto the tutors for help. Any and all help would be greatly appreciated.

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This is just trigonometry. They are telling you that your hypotenuse is 1.4 m and then giving you an angle. I believe that you can use the law of sines to solve this problem where a/(sin A) = b/(sin B). Look up law of sines on wikipedia if you don't remember because it will have an illustration that helps.
After you do that once you can just use the Pythagorean to get the other side.

Basically you are just solving for this triangle.
 
I was just thinking about it and I'm pretty sure you can just take y = r cos theta to get the perpendicular component and x = r sin theta to get the parallel component.

Both ways should work. Sorry if I over complicated it.
 
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